6698401920 has 672 divisors, whose sum is σ = 28024235820. Its totient is φ = 1525837824.

The previous prime is 6698401907. The next prime is 6698401921. The reversal of 6698401920 is 291048966.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6421778496 + 276623424 = 80136^2 + 16632^2 .

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6698401921) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 22861294 + ... + 22861586.

Almost surely, 2^6698401920 is an apocalyptic number.

6698401920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6698401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14012117910).

6698401920 is an abundant number, since it is smaller than the sum of its proper divisors (21325833900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6698401920 is an equidigital number, since it uses as much as digits as its factorization.

6698401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6698401920 is about 81843.7653092769. The cubic root of 6698401920 is about 1885.0537332210.

The spelling of 6698401920 in words is "six billion, six hundred ninety-eight million, four hundred one thousand, nine hundred twenty".